When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information. Time of Day When Best Ideas Occur Time 6 A.M.-12 noon 12 noon-6 P.M. 6 P.M.-12 midnight| 12 midnight-6 A.M. Number of Inventors 292 141 306 227 (a) Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.) 6AM-12PM 12PM-6PM 6PM-12AM 12AM-6AM (b) Do the probabilities add up to 1? Why should they? O No, because they do not cover the entire sample space. O Yes, because they cover the entire sample space. O Yes, because they do not cover the entire sample space. O No, because they cover the entire sample space. What is the sample space in this problem? O 12AM-12PM O 6AM-6PM O 6AM-12AM O the entire day

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When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.

(a) Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.)

(b) Do the probabilities add up to 1? (Choose one of the options:)

No, because they do not cover the entire sample space.

Yes, because they cover the entire sample space.    

Yes, because they do not cover the entire sample space.

No, because they cover the entire sample space.

 

(c). What is the sample space in this problem? Choose one of the options:

12AM-12PM
6AM-6PM    
6AM-12AM
The entire day
When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas Occur
Time
Number of Inventors
6 A.M.-12 noon
292
12 noon-6 P.M.
141
6 P.M.-12 midnight
12 midnight-6 A.M.
306
227
(a) Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12
noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.)
6AM-12PM
12PM-6PM
6PM-12AM
12AM-6AM
(b) Do the probabilities add up to 1? Why should they?
O No, because they do not cover the entire sample space.
O Yes, because they cover the entire sample space.
O Yes, because they do not cover the entire sample space.
O No, because they cover the entire sample space.
What is the sample space in this problem?
O 12AM-12PM
O 6AM-6PM
O 6AM-12AM
O the entire day
Transcribed Image Text:When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information. Time of Day When Best Ideas Occur Time Number of Inventors 6 A.M.-12 noon 292 12 noon-6 P.M. 141 6 P.M.-12 midnight 12 midnight-6 A.M. 306 227 (a) Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.) 6AM-12PM 12PM-6PM 6PM-12AM 12AM-6AM (b) Do the probabilities add up to 1? Why should they? O No, because they do not cover the entire sample space. O Yes, because they cover the entire sample space. O Yes, because they do not cover the entire sample space. O No, because they cover the entire sample space. What is the sample space in this problem? O 12AM-12PM O 6AM-6PM O 6AM-12AM O the entire day
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